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Finding the Third Proportional to 77,554 and 124,429

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Solution

The third proportional to 77,554 and 124,429 is: 199,636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,554 : 124,429 = 124,429 : x
  2. Step 2: Convert to fraction form
    77,554/124,429 = 124,429/x
  3. Step 3: Cross multiply
    77,554x = 124,429 × 124,429
  4. Step 4: Simplify right side
    77,554x = 15,482,576,041
  5. Step 5: Solve for x
    x = 15,482,576,041/77,554
  6. Step 6: Final answer
    x = 199,636.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.